Methods of Algebraic Geometry: Volume 2

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

W. V. D. Hodge (Author), D. Pedoe (Author)

9780521469012, Cambridge University Press

Paperback, published 19 May 1994

408 pages
22.8 x 15.2 x 2.1 cm, 0.576 kg

'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical Society

This work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasised throughout. Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties in spaces of n dimensions. Applications of these methods are also given to some of the more important varieties which occur in projective geometry. The ground field is without characteristic. Since geometry over any field without characteristic conforms to the general pattern of geometry over the field of complex numbers, a sound algebraic basis for classical geometry is provided. The other two volumes of Hodge and Pedoe's classic work are also available. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Part I. Book 3: General Theory of Algebraic Varieties in Projective Space
10. Algebraic varieties
11. Algebraic correspondences
12. Intersection theory
Part II. Book 4: Quadrics and Grassmann Varieties
13. Quadrics
14. Grassmann varieties.

Subject Areas: Algebraic geometry [PBMW]